A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard

Ehud Hrushovski; Ya'Acov Peterzil

doi:10.2178/jsl/1174668387

A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard

Ehud Hrushovski
, Ya'Acov Peterzil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.

Original language	English
Pages (from-to)	119-122
Number of pages	4
Journal	Journal of Symbolic Logic
Volume	72
Issue number	1
DOIs	https://doi.org/10.2178/jsl/1174668387
State	Published - Mar 2007

Bibliographical note

Funding Information:
Supported by ISF grant 244/03.

ASJC Scopus subject areas

Philosophy
Logic

Access to Document

10.2178/jsl/1174668387

Cite this

@article{e02f294482684e80be0aae8643e140bd,

title = "A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard",

abstract = "We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.",

author = "Ehud Hrushovski and Ya'Acov Peterzil",

note = "Funding Information: Supported by ISF grant 244/03.",

year = "2007",

month = mar,

doi = "10.2178/jsl/1174668387",

language = "English",

volume = "72",

pages = "119--122",

journal = "Journal of Symbolic Logic",

issn = "0022-4812",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard

AU - Hrushovski, Ehud

AU - Peterzil, Ya'Acov

N1 - Funding Information: Supported by ISF grant 244/03.

PY - 2007/3

Y1 - 2007/3

N2 - We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.

AB - We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.

UR - https://www.scopus.com/pages/publications/33947362076

U2 - 10.2178/jsl/1174668387

DO - 10.2178/jsl/1174668387

M3 - Article

AN - SCOPUS:33947362076

SN - 0022-4812

VL - 72

SP - 119

EP - 122

JO - Journal of Symbolic Logic

JF - Journal of Symbolic Logic

IS - 1

ER -

A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this